Section 3-3 for Marking Period Review
Dylan: First you need to graph the linear inequalities and when they are graphed, because of the inequality signs, they will be shaded a certain direction ,whether it is greater than or less then on the y or x-axis, and the area where all the shaded areas from the inequalities meet is the region that should be shaded for the solution set of a system of linear inequalities.
Section 5-6 for Marking Period Review
Dylan: This is the quadratic formula with simple directions in the center on how to complete it.
5-1
Translation of a Parabola
f(x)=a(x-h)2+k
a= the reflection across either axis and a stretch or compression
h=the horizontal translation
k=the vertical translation
Horizontal Translation
f(x)= x2
f(x-h)=(x-h)2
If h is less then 0 the parabola moves to the left
If h is greater then 0 the parabola moves to the right
Vertical Translation
f(x)=x2
f(x)+k=x2+k
If k is less then zero the parabola moves down
If k is greater then 0 the parabola moves up
Reflections
f(x)=x2
f(-x)=(-x)2=x2
This if a reflection over the y-axis
-f(x)=-(x2)
= -x2
This is a reflection over the x-axis
Stretch or Compression
Horizontal
f(x)= x2
f(1/b(x))=(1/b(x))2
If the absolute value of b is greater then 1, it stretches away from the y-axis
If the absolute value of b is greater then 0 but less then 1 it compresses toward the y-axis
Vertical
f(x)= x2
a*f(x)= ax2
If the absolute value of a is greater then 1 the parabola stretches away from the x-axis
If the absolute value of a is greater the 0 but less then 1 the parabola compresses toward the x-axis
Section 3-3 for Marking Period Review
Dylan: First you need to graph the linear inequalities and when they are graphed, because of the inequality signs, they will be shaded a certain direction ,whether it is greater than or less then on the y or x-axis, and the area where all the shaded areas from the inequalities meet is the region that should be shaded for the solution set of a system of linear inequalities.
Section 5-6 for Marking Period Review
Dylan:
5-1
Translation of a Parabola
f(x)=a(x-h)2+k
a= the reflection across either axis and a stretch or compression
h=the horizontal translation
k=the vertical translation
Horizontal Translation
f(x)= x2
f(x-h)=(x-h)2
If h is less then 0 the parabola moves to the left
If h is greater then 0 the parabola moves to the right
Vertical Translation
f(x)=x2
f(x)+k=x2+k
If k is less then zero the parabola moves down
If k is greater then 0 the parabola moves up
Reflections
f(x)=x2
f(-x)=(-x)2=x2
This if a reflection over the y-axis
-f(x)=-(x2)
= -x2
This is a reflection over the x-axis
Stretch or Compression
Horizontal
f(x)= x2
f(1/b(x))=(1/b(x))2
If the absolute value of b is greater then 1, it stretches away from the y-axis
If the absolute value of b is greater then 0 but less then 1 it compresses toward the y-axis
Vertical
f(x)= x2
a*f(x)= ax2
If the absolute value of a is greater then 1 the parabola stretches away from the x-axis
If the absolute value of a is greater the 0 but less then 1 the parabola compresses toward the x-axis